{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "ac03d5ad-cf7d-4001-adbb-52eb0659d8d5",
   "metadata": {},
   "source": [
    "Chapter 05\n",
    "\n",
    "# 成对欧氏距离\n",
    "Book_6《数据有道》 | 鸢尾花书：从加减乘除到机器学习"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "30f21ecf-3a53-4dff-8e30-909501010139",
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.metrics.pairwise import euclidean_distances\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import seaborn as sns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "3d7c44d1-a025-484f-82d7-5d2bfa6b5472",
   "metadata": {},
   "outputs": [],
   "source": [
    "# define sample data\n",
    "X = np.array([[1,6], [4,6], [1,5], [6,0], \n",
    "              [3,8], [8,3], [4,1], [3,5], \n",
    "              [9, 2], [5, 9], [4, 9], [8, 4]])\n",
    "\n",
    "# define labels\n",
    "labels = ['a','b','c','d','e','f','g','h','i','j','k','l']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "10cfc9ec-c185-436f-8e5d-e72d768b8465",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "\n",
    "# plot scatter of sample data\n",
    "plt.scatter(x=X[:, 0], y=X[:, 1], color=np.array([0, 68, 138])/255., alpha=1.0, \n",
    "                linewidth = 1, edgecolor=[1,1,1])\n",
    "\n",
    "for i, (x,y) in enumerate(zip(X[:, 0],X[:, 1])):\n",
    "\n",
    "    # add labels to the sample data\n",
    "    label = labels[i] + f\"({x},{y})\"\n",
    "\n",
    "    plt.annotate(label, # text\n",
    "                 (x,y), # point to label\n",
    "                 textcoords=\"offset points\", \n",
    "                 xytext=(0,10), \n",
    "                 # distance from text to points (x,y)\n",
    "                 ha='center') \n",
    "                 # horizontal alignment center\n",
    "\n",
    "ax.set_xticks(np.arange(0, 11, 1))\n",
    "ax.set_yticks(np.arange(0, 11, 1))\n",
    "ax.set_xlim(0, 10)\n",
    "ax.set_ylim(0, 10)\n",
    "plt.xlabel('x_1')\n",
    "plt.ylabel('x_2')\n",
    "ax.grid(linestyle='--', linewidth=0.25, color=[0.5,0.5,0.5])\n",
    "ax.set_aspect('equal')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "b7fde73c-69fa-4000-9a5e-62cf643ae0bb",
   "metadata": {},
   "outputs": [],
   "source": [
    "# compute pairwise distance matrix"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "58f91dc2-c9d0-4bec-835c-1ae0a3ffec6e",
   "metadata": {},
   "outputs": [],
   "source": [
    "Pairwise_d = euclidean_distances(X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "f98c9858-3bf2-4cb4-b53f-71584ca87b88",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "\n",
    "h = sns.heatmap(Pairwise_d, cmap=\"coolwarm\",\n",
    "                square=True, linewidths=.05, annot=True,\n",
    "                xticklabels = labels, yticklabels = labels)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "5f411449-5d28-4182-bda7-000d4e70de69",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mask = np.triu(np.ones_like(Pairwise_d, dtype=bool))\n",
    "\n",
    "# lower triangle for heatmap of RBF affinity matrix\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "h = sns.heatmap(Pairwise_d, cmap=\"coolwarm\",\n",
    "                mask = mask,\n",
    "                square=True, linewidths=.05, annot=True,\n",
    "                xticklabels = labels, yticklabels = labels)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
